Conference rusure::math

1215.0. "A LISP Program for Reduced Simplicial Homology" by HPSTEK::XIA (In my beginning is my end.) Sun Apr 01 1990 01:48

	     In my effort to learn LISP on my own, I managed to develop 
	a program that will compute the reduced simplicial homology for any 
	given finite simplicial complex.  The program resides at:

	hpstek::newprod:[xia.ai.fast.homology]homology.fas

	To run this program, simply get into the LISP interpreter.

	First load the program, i.e.

	Lisp> (load "homology.fas") <return>

	Then do:

	Lisp> (homology "[filename]") <return>

	where the filename is the name of the file that contains the 
	relevant simplicial complex.  The program will return a list
	of objects each is the reduced homological group of proper order.
	There are three examples in the same directory:

	TORUS.DAT, KLEIN_BOTTLE.DAT and PROJECTIVE_PLANE

	The format for those files are self-explanatory.  The only 
	constrain is that the vertex names must be alphanumerical,
	i.e. they must all begin with an alphabet.

	-------------------------------------------------------------
	Example: 

	$ lisp

	Lisp> (load "homology.fas") <return>
	T
	Lisp> (homology "klein_bottle.dat") <return>
	((0) ((Z 0) (Z 2)) (0))
	Lisp> 

	-------------------------------------------------------------
                                            ~      ~
	The return of the program says that H = 0, H = Z + Z/2
                                             0      1
	    ~
	and H = 0.
             2


	Eugene

    What is homology and what is it good for?
    
    					Sieg

    
    What is homology and what is it good for?
    
    					Wildrik

    I should know, but I'll have to look it up tonite!
    
    Dick

    re .3,
    
    I think, by now, you have realized the reason why no one has answered
    the question yet.  :-)
    
    Eugene

    Re: .4, .0
    
    Could it have anything to do with the tomorrow of the date the base
    note was entered...
    
    Wildrik 8-}